Question

What is the product of 1.7 × 10−13 and 3.5 × 1025?

Answer 1

ANSWER

$3.95 \times {10}^{12}$

EXPLANATION

The first number is

$1.7 \times {10}^{ - 13}$

The second number is

$3.5 \times {10}^{25}$

The product of the above two numbers is
$1.7 \times {10}^{ - 13} \times 3.5 \times {10}^{25}$

We regroup the numbers to obtain,

$(1.7 \times 3.5) \times {10}^{ - 13} \times {10}^{25}$

We now multiply out the expression in the bracket to obtain,

$3.95 \times {10}^{ - 13} \times {10}^{25}$

Recall also that,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

We apply this property to obtain,

$3.95 \times {10}^{ - 13 + 25}$

This finally simplifies to,

$3.95 \times {10}^{12}$

Therefore the correct answer is D.

Answer 2

$(1.7\times10^{-13})\times(3.5\times10^{25})=(1.7\times3.5)(10^{-13}\times10^{25})\\\\=5.95\times10^{-13+25}=5.95\times10^{12}\\\\\\Answer:\boxed{5.95\times10^{12}}$